Two-level parabolic model with phase-jump coupling

Abstract

We study the coherent dynamics of a two-level parabolic model and ways to enhance population transfer and even to obtain complete population inversion in such models. Motivated by the complete population inversion effect of zero-area pulses found in [1], we consider a scheme where a given coupling function is transformed to a zero-area coupling by performing phase-jump in the middle of the evolution. We also derive a universal formula for the effect of the phase-jump.

Coupling-assisted Landau-Majorana-Stückelberg-Zener transition in a system of two interacting spin qubits

“…This means that if we consider as initial conditions the states in Eqs. (9) and (11), we get asymptotically, this time, the states…”

“…when initial states present coherences 3,4 . In such cases one can alternatively use either the exact solutions of the finite LMSZ scenario 5 or the Allen-Eberly-Hioe model 6 , the Demkov-Kunike model 7 or other models 8,9 , where no divergency problems arise and the transition probability is rather simple.…”

The Landau–Zener formula made simple

“…Despite its simplicity [25,26] there does not seem to exist a 'one-line' derivation of it 4 . This fact is astonishing especially in view of the numerous applications [27][28][29][30][31], and further developments of this model [32][33][34][35][36]. In this note we present such an argument based on the Markov approximation of the resulting Schrödinger equation for the transition probability amplitude.…”

Analytical results for the dynamics of parabolic level-crossing model

“…Nakamura and co-workers applied the results to laser assisted surface ion neutralization [33] and the laser-controlled photochromism in functional molecules [34]. Over the last decade, Lehto incorporated super-parabolic level-glancing effects into the parabolic model [35,36], and studied complete population inversion due to phase-jump couplings [37]. Zhang and co-workers described the population dynamics of driven dipolar molecules in the parabolic level-glancing model in terms of the confluent Heun functions [38].…”